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Name of disciplines 
Equations of mathematical physics 
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Course of Study 
4, specialty 131 03 0101 Mathematics (research and production activities) 
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Semester of training 
7 
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Amount of credits 
2 
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Full name of lecturer 
Doctor of Physical and Mathematical Sciences, Professor Lomovtsev Fedor Egorovich 
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Objectives of the study

Teach students to master the concepts of the theory of elliptic partial differential equations and basic mathematical methods of investigation. Teach students to solve the boundary value problems of Dirichlet and Neumann for the Poisson equation. As a result of the study, the student should be able to: – investigate the correctness of the boundary value problems of Dirichlet and Neumann for the Poisson equation; – use the Green’s function method and the method of separation of variables to solve these boundary value problems. 
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Prerequisites 
Mathematical analysis, ordinary differential equations. 
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Content 
Elliptic equations of mathematical physics. Integral Green’s formulas. Definition and properties of harmonic functions. Statement of the basic boundaryvalue problems for the Poisson equation. On the uniqueness of solutions of the Dirichlet and Neumann problems. Methods for separation of variables and Green’s functions. Justification of the Fourier method. The method of fictitious charges. Solutions by the Green’s function of the internal and external Dirichlet problems for a ball. Poisson integrals. The Liouville theorem. 
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Recommended 
1. Tikhonov A.N., Samarskii A.A. Equations of mathematical physics. Moscow, 2004. 2. Korzyuk V.I. Equations of mathematical physics. Minsk, 2011. 3. Lomovtsev F.E. Equations of mathematical physics. Collection of tasks. Minsk, 2009. 
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Teaching Methods 
Problematic, communicative with elements of educational and research activity, controlled independent work. 
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Language of learning 
Russian 
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Conditions (requirements), 
– test papers 
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Form of current certification 
Exam 